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175n^2-536n+336=7n^2
We move all terms to the left:
175n^2-536n+336-(7n^2)=0
determiningTheFunctionDomain 175n^2-7n^2-536n+336=0
We add all the numbers together, and all the variables
168n^2-536n+336=0
a = 168; b = -536; c = +336;
Δ = b2-4ac
Δ = -5362-4·168·336
Δ = 61504
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{61504}=248$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-536)-248}{2*168}=\frac{288}{336} =6/7 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-536)+248}{2*168}=\frac{784}{336} =2+1/3 $
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